1148331306780 has 384 divisors, whose sum is σ = 4217985515520. Its totient is φ = 253808640000.

The previous prime is 1148331306679. The next prime is 1148331306781. The reversal of 1148331306780 is 876031338411.

1148331306780 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 331 + 306 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148331306781) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187602120 + ... + 187608240.

It is an arithmetic number, because the mean of its divisors is an integer number (10984337280).

Almost surely, 2^{1148331306780} is an apocalyptic number.

1148331306780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148331306780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108992757760).

1148331306780 is an abundant number, since it is smaller than the sum of its proper divisors (3069654208740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1148331306780 is a wasteful number, since it uses less digits than its factorization.

1148331306780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1148331306780 in words is "one trillion, one hundred forty-eight billion, three hundred thirty-one million, three hundred six thousand, seven hundred eighty".